2x(x-4)+5x-9=3(2-x)

Solution for 2x(x-4)+5x-9=3(2-x) equation:

Simplifying
2x(x + -4) + 5x + -9 = 3(2 + -1x)

Reorder the terms:
2x(-4 + x) + 5x + -9 = 3(2 + -1x)
(-4 * 2x + x * 2x) + 5x + -9 = 3(2 + -1x)
(-8x + 2x2) + 5x + -9 = 3(2 + -1x)

Reorder the terms:
-9 + -8x + 5x + 2x2 = 3(2 + -1x)

Combine like terms: -8x + 5x = -3x
-9 + -3x + 2x2 = 3(2 + -1x)
-9 + -3x + 2x2 = (2 * 3 + -1x * 3)
-9 + -3x + 2x2 = (6 + -3x)

Add '3x' to each side of the equation.
-9 + -3x + 3x + 2x2 = 6 + -3x + 3x

Combine like terms: -3x + 3x = 0
-9 + 0 + 2x2 = 6 + -3x + 3x
-9 + 2x2 = 6 + -3x + 3x

Combine like terms: -3x + 3x = 0
-9 + 2x2 = 6 + 0
-9 + 2x2 = 6

Solving
-9 + 2x2 = 6

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '9' to each side of the equation.
-9 + 9 + 2x2 = 6 + 9

Combine like terms: -9 + 9 = 0
0 + 2x2 = 6 + 9
2x2 = 6 + 9

Combine like terms: 6 + 9 = 15
2x2 = 15

Divide each side by '2'.
x2 = 7.5

Simplifying
x2 = 7.5

Take the square root of each side:
x = {-2.738612788, 2.738612788}